Simple character formula for finite W-superalgebra of type A

We will present a canonical basis character formula for the irreducible modules in parabolic BGG-type categories, including the category of finite-dimensional modules, for finite W-superalgebras of type A. These categories categorify the tensor product modules of irreducible polynomial representations and their duals over a quantum group of type A. Moreover, the standard modules and irreducible modules in these categories categorify the standard basis and Lusztig's dual canonical basis in the tensor product modules. This is joint work with Shun-Jen Cheng.